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Finding the Fourth Proportional to 781.59, 1,084.21 and 740.07

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Solution

The fourth proportional to 781.59, 1,084.21 and 740.07 is: 1,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.59 : 1,084.21 = 740.07 : x
  2. Step 2: Convert to fraction form
    781.59/1,084.21 = 740.07/x
  3. Step 3: Cross multiply
    781.59x = 1,084.21 × 740.07
  4. Step 4: Simplify right side
    781.59x = 802,391.29
  5. Step 5: Solve for x
    x = 802,391.29/781.59
  6. Step 6: Final answer
    x = 1,026.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.